GCD of 302, 682, 894, 438 Calculator

Given Input numbers are 302, 682, 894, 438

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 302, 682, 894, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 682, 894, 438 is 2.

Therefore, GCD of numbers 302, 682, 894, 438 is 2

Given Input Data is 302, 682, 894, 438

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 302 is 2 x 151

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 438 is 2 x 3 x 73

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(302, 682) = 102982

GCD(302, 682) = ( 302 x 682 ) / 102982

GCD(302, 682) = 205964 / 102982

GCD(302, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 894

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

GCD(2, 894) = 1788 / 894

GCD(2, 894) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 438

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

GCD(2, 438) = 876 / 438

GCD(2, 438) = 2

GCD of 302, 682, 894, 438 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 354, 885, 395
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• GCD of 353, 327, 319, 502
• GCD of 285, 230, 866, 761
• GCD of 157, 688, 496, 806

1. What is the GCD of 302, 682, 894, 438?

GCD of 302, 682, 894, 438 is 2

2. Where do I get the detailed procedure to find GCD of 302, 682, 894, 438?

You can find a detailed procedure to find GCD of 302, 682, 894, 438 on our page.

3. How to find GCD of 302, 682, 894, 438 on a calculator?

You can find the GCD of 302, 682, 894, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.